When search "iptable" I get "psfstiptable". I installed "chkrootkit" and ran it and nothing was infected.

Try, as root:
If you're using iptables, this will list the current firewall rules.

Chain INPUT (policy DROP)
target prot opt source destination
ACCEPT all -- anywhere anywhere
ACCEPT all -- anywhere anywhere state RELATED,ESTABLISHED
input_dmz all -- anywhere anywhere policy match dir in pol ipsec proto esp
input_ext all -- anywhere anywhere
LOG all -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-IN-ILL-TARGET '
DROP all -- anywhere anywhere

Chain FORWARD (policy DROP)
target prot opt source destination
forward_dmz all -- anywhere anywhere policy match dir in pol ipsec proto esp
LOG all -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-FWD-ILL-ROUTING '

Chain OUTPUT (policy ACCEPT)
target prot opt source destination
ACCEPT all -- anywhere anywhere
ACCEPT all -- anywhere anywhere state NEW,RELATED,ESTABLISHED
LOG all -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-OUT-ERROR '

Chain forward_dmz (1 references)
target prot opt source destination

Chain forward_ext (0 references)
target prot opt source destination

Chain input_dmz (1 references)
target prot opt source destination
DROP all -- anywhere anywhere PKTTYPE = broadcast
ACCEPT icmp -- anywhere anywhere icmp source-quench
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp echo-reply
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp destination-unreachable
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp time-exceeded
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp parameter-problem
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp timestamp-reply
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp address-mask-reply
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp protocol-unreachable
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp redirect
ACCEPT udp -- anywhere anywhere udp dpt:bootpc
ACCEPT udp -- anywhere anywhere udp dpt:bootps
LOG tcp -- anywhere anywhere limit: avg 3/min burst 5 tcp flags:SYN,RST,ACK/SYN LOG level warning tcp-options ip-options prefix `SFW2-INdmz-DROP-DEFLT '
LOG icmp -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-INdmz-DROP-DEFLT '
LOG udp -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-INdmz-DROP-DEFLT '
LOG all -- anywhere anywhere limit: avg 3/min burst 5 state INVALID LOG level warning tcp-options ip-options prefix `SFW2-INdmz-DROP-DEFLT-INV '
DROP all -- anywhere anywhere

Chain input_ext (1 references)
target prot opt source destination
DROP all -- anywhere anywhere PKTTYPE = broadcast
ACCEPT icmp -- anywhere anywhere icmp source-quench
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp echo-reply
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp destination-unreachable
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp time-exceeded
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp parameter-problem
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp timestamp-reply
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp address-mask-reply
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp protocol-unreachable
ACCEPT icmp -- anywhere anywhere state RELATED,ESTABLISHED icmp redirect
LOG tcp -- anywhere anywhere limit: avg 3/min burst 5 tcp flags:SYN,RST,ACK/SYN LOG level warning tcp-options ip-options prefix `SFW2-INext-DROP-DEFLT '
LOG icmp -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-INext-DROP-DEFLT '
LOG udp -- anywhere anywhere limit: avg 3/min burst 5 LOG level warning tcp-options ip-options prefix `SFW2-INext-DROP-DEFLT '
LOG all -- anywhere anywhere limit: avg 3/min burst 5 state INVALID LOG level warning tcp-options ip-options prefix `SFW2-INext-DROP-DEFLT-INV '
DROP all -- anywhere anywhere

Chain reject_func (0 references)
target prot opt source destination
REJECT tcp -- anywhere anywhere reject-with tcp-reset
REJECT udp -- anywhere anywhere reject-with icmp-port-unreachable
REJECT all -- anywhere anywhere reject-with icmp-proto-unreachable

I'm using Susefirewall2. I have dsl with a cable router. No server situations or Windoze interfaces. Just a simple internet connection. FF and T'Bird. If I need to re-write it please walk me through it as I don't really understand it that well. Thanks.

One advice I can give - beeng a noob myself - try browsing the net while being someone other than root.

Never browse as root.

You should really start a new thread in the security forum and post your rules there. I'm only now starting with iptables and won't be of any real help. What sort of jumped out (for me) was your third line:
The first rule which applies will be carried out and that's it for iptables. Do you truly want for all packets to apply "ACCEPT all -- anywhere anywhere"? What rule could iptables apply after that?

Well, like I said I don't really know how tom set it up.